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Finding the Third Proportional to 363,620 and 744,868

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Solution

The third proportional to 363,620 and 744,868 is: 1,525,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,620 : 744,868 = 744,868 : x
  2. Step 2: Convert to fraction form
    363,620/744,868 = 744,868/x
  3. Step 3: Cross multiply
    363,620x = 744,868 × 744,868
  4. Step 4: Simplify right side
    363,620x = 554,828,337,424
  5. Step 5: Solve for x
    x = 554,828,337,424/363,620
  6. Step 6: Final answer
    x = 1,525,846.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.